Let I be a closed interval of the form [a, b], where a and b are real numbers and a ≤ b. We define the length of I as l(I):=b-a. Consider two closed intervals I₁, I₂. Show that (1₁) = (1₂) if and only if there exists y R such that 1₂ = (x+y: for some r € 1₁}. Hint: A sketch might be very helpful.
Let I be a closed interval of the form [a, b], where a and b are real numbers and a ≤ b. We define the length of I as l(I):=b-a. Consider two closed intervals I₁, I₂. Show that (1₁) = (1₂) if and only if there exists y R such that 1₂ = (x+y: for some r € 1₁}. Hint: A sketch might be very helpful.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I used desmos to help but still cannot find the interval. Please explain it please. Thank you!
![Let I be a closed interval of the form [a, b], where a and b are real numbers and a ≤ b. We define the
length of I as
l(I):=b-a.
Consider two closed intervals I₁, I₂. Show that (1₁) = (1₂) if and only if there exists y € R such that
1₂ = {2+y: for some 2 € I₁}.
Hint: A sketch might be very helpful.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4893c46-a94c-4c81-a9fc-277ce07300a6%2F2042d99f-3589-44dc-8a58-b7670cd506a6%2F0awiclp_processed.png&w=3840&q=75)
Transcribed Image Text:Let I be a closed interval of the form [a, b], where a and b are real numbers and a ≤ b. We define the
length of I as
l(I):=b-a.
Consider two closed intervals I₁, I₂. Show that (1₁) = (1₂) if and only if there exists y € R such that
1₂ = {2+y: for some 2 € I₁}.
Hint: A sketch might be very helpful.
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